Divisible by 4

This topic is on divisibility rule of 4 and will provide examples on the same.

Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4

For Example: 524

The last two digit of the number is 24 which is divisible by 4. That is 24/4 = 6. Hence 524 is also divisible by 4

Here are few examples on the divisibility rule of 4:

1. Check whether the following numbers are divisible by 4 or not?

(i) 656

(ii) 740

(iii) 123

(iv) 115

(v) 220

(vi) 996

(v) 425

(vi) 7896

(vii) 8430

(viii) 1136

(ix) 729

(x) 452

Solution:

(i) 656

The last two digit 56 is divisible by 4 i.e. 56/4 = 14. Hence 656 is divisible by 4

(ii) 740

The last two digit 40 is divisible by 4 i.e. 40/4 = 10. Hence 740 is divisible by 4

(iii) 123

23 the last two digit of 123 is not divisible by 4 hence the number 123 is not divisible by 4

(iv) 115

The last two digit 15 is not divisible by 4 hence the number 115 is not divisible by 4

(v) 220

20 is divisible by 4 i.e. 20/4 = 5. Hence 220 is divisible by 4

(vi) 996

The last two digit 96 is divisible by 4 i.e. 96/4 = 24. Hence 996 is divisible by 4

(v) 425

25 is the last two digit of 425 is not divisible by 4 hence the number 425 is not divisible by 4

(vi) 7896

The last two digits of 7896 are 96. 96 is divisible by 4 i.e. 96/4 = 24. Hence, 7896 is divisible by 4

(vii) 8430

The last two digits of 8430 are 30. 30 is not divisible by 4 hence, 8430 is not divisible by 4

viii) 1136

36 is divisible by 4. That is 36/4 = 9. Hence, 1136 is divisible by 4

(ix) 729

The last two digit 29 is not divisible by 4 hence the number 729 is not divisible by 4

(x) 452

In 452 the last two digit is 52 and 52/4 = 13 hence 452 is divisible by 4

2. Fill in the blanks with digit such that the number becomes divisible by 4:

(i) 2 …. 8

(ii) 56 …. 0

(iii) …. 56

(iv) 89 ….

(v) 6 …. 6

(vi) 46 ….

(vii) 566….

(viii) 25 ….

(ix) 8 …. 0

(x) 36 ….

Solution:

(i) 288

(ii) 5600

(iii) 956

(iv) 896

(v) 636

(vi) 464

(vii) 5660

(viii) 252

ix) 800

(x) 364

Explanation:

Digits are filled in such a way such that the last two digits are made divisible by 4. Since last two digits are divisible by 4 the whole number is divisible by 4

3. Rewrite the series with the numbers that are divisible by 4 with red color.

56        84        859      664      753      8432    996      164      204      375      1172    888      553

Solution:

56        84        859      664      753      8432    996      164      204      375      1172    888      553

Recent Articles

1. Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process

Feb 18, 24 01:56 PM

The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic…

2. Electron Transport System and Oxidative Phosphorylation | ETC |Diagram

Feb 04, 24 01:57 PM

It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains…

3. Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram

Jan 28, 24 12:39 PM

This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c…

4. Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis

Dec 15, 23 08:42 AM

This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo…